If you're planning on just bench shooting or plinking, any non-gas-check bullet would be just fine. 1300-1400fps would be right at the top end of velocity without excessive leading or "stripping" the bullet in the rifling which will throw accuracy out the window pretty quick.
If you're thinking about using it for hunting, I would go with a gas-check design so you can push them a bit faster.
I do know some guys that are shooting a gas-check design bullet without the checks...in 45-70 and assorted .44 and .45 pistol cartridges though.
There is a slightly smaller stem at the base of the bullet that the check would normally fit on. Some guys claim this isn't a problem to use this style without checks and some guys claim that accuracy will suffer unless you use checks.
I don't have any personal experience with that either way so I'm not comfortable saying yes or no to that question, but in this case that Lee 220gr mold might be a good dual purpose choice.
The big problem with .33 caliber is that none of the big names make .338 gas checks anymore. There is a company called Gator Checks that still makes em though. This is where my friend got his last batch of .338 checks from. You should be able to get in on a Gator group purchase over at the
www.castboolits.com forum.
Castboolits.com is an excellent site for all sorts of info on casting/loading/shooting lead bullets. A good place to bookmark!
The other two choices (RCBS 200gr or Lyman 250gr) you listed are plain-base only. No possibility to check them, so they would be good low-velocity plinker bullets.
Since that Moyer's site sells pre-cast/sized/lubed bullets & you currently don't have a casting setup, that Lyman 250gr they have would probably be a good one to start with. Low entry cost until you get more equipment for the loading bench and get hooked on casting your own bullets.
Being a heavier bullet, it'll probably be easier to find a load to keep velocity down around that 1200-1400fps mark since they're a non-check design.
And if you do decide that you would like to run jacketed bullets in some heavier loads for a hunting trip, you can always use any of the jacketed spitzer-design bullets and load the rifle one round at a time too.